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The original measurement of device-independent(MDI)quantum key distribution(QKD) is reviewed, and a modified protocol using rotation-invariant photonic state is proposed. Initial encoding and final decoding of information in our MDI-QKD implementation protocol can be conveniently performed in the polarization space, while the transmission is done in the rotation-invariant hybrid space. Our analysis indicates that both the secure key rate and transmission distance can be improved by our modified protocol owing to its lower error rate. Furthermore, our hybrid polarization-OAM qubits approach only needs to insert four q-plates in a practical experiment, and our simulation results show that the modified protocol is practical.
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Keywords:
- rotation invariant photonic state /
- polarization independent /
- measurement device-independent quantum key distribution
[1] Bennet C H Brassard G 1984 Proc IEEE International Conference Computers, Systems, and Signal Processing Bangalore, India, December 9-12, 1984, p175-179
[2] Shor P W, Preskill J 2000 Phys. Rev. Lett. 85 441
[3] [4] [5] Mayers D 2001 Journal of the ACM. 48 351
[6] [7] Gottesman D, Lo K H, Lutkenhaus N, Preskill J 2004 Quantum Infor. Comput. 4 325-360
[8] [9] Zhou Y Y, Zhou X T, Tian P G, Wang Y J 2013 Chin.it Phys. B 22 010305
[10] Sheng Y B, Zhou L, Cheng W W, Gong L Y, Wang L, Zhan S M 2013 Chin. Phys. B 22 030314
[11] [12] Jiao R Z, Zhang W H 2009 Acta Phys. Sin. 58 2189 (in Chinese)[焦荣珍, 张文瀚 2009 58 2189]
[13] [14] [15] Dong C, Zhao S H, Zhao W H, Shi L, Dong Y 2014 Acta Phys. Sin. 63 030302 (in Chinese)[东晨, 赵尚弘, 赵卫虎, 石磊, 董毅 2014 63 030302]
[16] Wang J D, Qin X J, Wei Z J, Liu X B, Liao C J, Liu S H 2010 Acta Phys. Sin. 59 281 (in Chinese)[王金东, 秦晓娟, 魏正军, 刘小宝, 廖常俊, 刘颂豪 2010 59 281]
[17] [18] [19] H K Lo, M Curty, B Qi 2012 Phys. Rev. Lett. 108 130503
[20] Hwang W Y 2003 Phys. Rev. Lett. 91 057901
[21] [22] Ma X F, Fung C H F, Razavi M 2012 Phys. Rev. A 86 052305
[23] [24] [25] Wang X B 2013 Phys. Rev. A 87 012320
[26] [27] Sun S H, Gao M, Li C Y, Liang L M 2013 Phys. Rev. A. 87 052329
[28] [29] Liu Y, Chen T Y, Wang L J, Lao H, Shentu G L, Wian J, Cui K, Yin H L, Liu N L, Li L, Ma X F, Pele J S, Fejer M M, Zhang Q, Pan J W 2013 Phys. Rev. Lett. 111 130502
[30] [31] Tang Z, Liao Z, Xu F, Qi B, Qian L, Lo H K 2013 arXiv:13066134
[32] Tang Z L, Li M, Wei Z J, Lu F, Liao C J, Liu S H 2005 Acta Phys. Sin. 54 2534 (in Chinese)[唐志列, 李铭, 魏正军, 卢非, 廖常俊, 刘颂豪 2005 54 2534]
[33] [34] [35] Piccirillo B, Dambrosio V, Slussarenko S, Marrucci L, Santamato E 2010 Appl. Phys. Lett. 97 241104
[36] Slussarenko S, Murauski A, Du T, Marrucci L, Santamato E 2011 Opt. Exp. 19 4085
[37] [38] Xu F H, Curty M, Qi B, Lo H K 2013 New J. of Phys. 15 113007
[39] [40] [41] Ma X F, Razavi M 2012 Phys. Rev. A 86 062319
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[1] Bennet C H Brassard G 1984 Proc IEEE International Conference Computers, Systems, and Signal Processing Bangalore, India, December 9-12, 1984, p175-179
[2] Shor P W, Preskill J 2000 Phys. Rev. Lett. 85 441
[3] [4] [5] Mayers D 2001 Journal of the ACM. 48 351
[6] [7] Gottesman D, Lo K H, Lutkenhaus N, Preskill J 2004 Quantum Infor. Comput. 4 325-360
[8] [9] Zhou Y Y, Zhou X T, Tian P G, Wang Y J 2013 Chin.it Phys. B 22 010305
[10] Sheng Y B, Zhou L, Cheng W W, Gong L Y, Wang L, Zhan S M 2013 Chin. Phys. B 22 030314
[11] [12] Jiao R Z, Zhang W H 2009 Acta Phys. Sin. 58 2189 (in Chinese)[焦荣珍, 张文瀚 2009 58 2189]
[13] [14] [15] Dong C, Zhao S H, Zhao W H, Shi L, Dong Y 2014 Acta Phys. Sin. 63 030302 (in Chinese)[东晨, 赵尚弘, 赵卫虎, 石磊, 董毅 2014 63 030302]
[16] Wang J D, Qin X J, Wei Z J, Liu X B, Liao C J, Liu S H 2010 Acta Phys. Sin. 59 281 (in Chinese)[王金东, 秦晓娟, 魏正军, 刘小宝, 廖常俊, 刘颂豪 2010 59 281]
[17] [18] [19] H K Lo, M Curty, B Qi 2012 Phys. Rev. Lett. 108 130503
[20] Hwang W Y 2003 Phys. Rev. Lett. 91 057901
[21] [22] Ma X F, Fung C H F, Razavi M 2012 Phys. Rev. A 86 052305
[23] [24] [25] Wang X B 2013 Phys. Rev. A 87 012320
[26] [27] Sun S H, Gao M, Li C Y, Liang L M 2013 Phys. Rev. A. 87 052329
[28] [29] Liu Y, Chen T Y, Wang L J, Lao H, Shentu G L, Wian J, Cui K, Yin H L, Liu N L, Li L, Ma X F, Pele J S, Fejer M M, Zhang Q, Pan J W 2013 Phys. Rev. Lett. 111 130502
[30] [31] Tang Z, Liao Z, Xu F, Qi B, Qian L, Lo H K 2013 arXiv:13066134
[32] Tang Z L, Li M, Wei Z J, Lu F, Liao C J, Liu S H 2005 Acta Phys. Sin. 54 2534 (in Chinese)[唐志列, 李铭, 魏正军, 卢非, 廖常俊, 刘颂豪 2005 54 2534]
[33] [34] [35] Piccirillo B, Dambrosio V, Slussarenko S, Marrucci L, Santamato E 2010 Appl. Phys. Lett. 97 241104
[36] Slussarenko S, Murauski A, Du T, Marrucci L, Santamato E 2011 Opt. Exp. 19 4085
[37] [38] Xu F H, Curty M, Qi B, Lo H K 2013 New J. of Phys. 15 113007
[39] [40] [41] Ma X F, Razavi M 2012 Phys. Rev. A 86 062319
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